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Finding the Fourth Proportional to 235.86, 325.08 and 209.04

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Solution

The fourth proportional to 235.86, 325.08 and 209.04 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.86 : 325.08 = 209.04 : x
  2. Step 2: Convert to fraction form
    235.86/325.08 = 209.04/x
  3. Step 3: Cross multiply
    235.86x = 325.08 × 209.04
  4. Step 4: Simplify right side
    235.86x = 67,954.72
  5. Step 5: Solve for x
    x = 67,954.72/235.86
  6. Step 6: Final answer
    x = 288.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.